Question

A satellite sends signals from space to the regions which lie within the shaded portion of the Earth, as shown below.

If the radius of Earth is approximately 6000 kilometers, the part of Earth which receives signals from the satellite has an area of ________ square kilometers. Use π = 3.14.

Answer 1

part of earth=length of arc=r*theta
r=6000km
theta=608pi/180=pi/3
just plug in values

Answer 2

I don't think she's quite there yet

Answer 3

maybe waiting for you @panlac01 :P

Answer 4

is it 10.13

Answer 5

let us break this down:

you were given a circumference of 6000 km

now can you write down the circumference formula of a circle?

Answer 6

2Pi*r

Answer 7

but radius is 6000 not circumference.....

Answer 8

haha word, you're right

Answer 9

lol

Answer 10

forget what I said prior and let us start over

Answer 11

k

Answer 12

hartnn said pi/3

now don't get this confused with 3.14 divided by 3

Answer 13

but it is 3.14 divided by 3!!

Answer 14

Im getting confused -_-

Answer 15

sorry cemantha

Answer 16

=/

Answer 17

sorry!i will leave this to @panlac01

Answer 18

no its ok @hartnn its js he's saying one thing and my problem is saying another

Answer 19

so did u find the length of arc using the 1st formula i gave??10.13 is incorrect

Answer 20

ok let me recheck

Answer 21

ok i got 10.6=1.046

Answer 22

let me do it here:
length of arc=radius*theta
radius=6000
theta=pi/3=3.14/3
so,length of arc=6000*3.14/3
=2000*3.14
=6280

Answer 23

ok

Answer 24

still any doubts?

Answer 25

ummm sorta bc before yu put
r=6000km
theta=608pi/180=pi/3
and now yu put
radius=6000
theta=pi/3=3.14/3
so,length of arc=6000*3.14/3
=2000*3.14
=6280

Answer 26

do you understand what he's typing about, cemantha?

Answer 27

that 608 was typo...for 60*
now both are same...

Answer 28

ooooooooooooh ok.

Answer 29

can that be solved by \[A=\pi r^2\]

and then divide it by 6?

Answer 30

but isn't the part of Earth only arc AB?

Answer 31

and that value is 60 deg. and a whole circle is 6x60 deg